Interpolation And Approximation
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Interpolation And Approximation
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Author : Philip J. Davis
language : en
Publisher: Courier Corporation
Release Date : 1975-01-01
Interpolation And Approximation written by Philip J. Davis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-01-01 with Mathematics categories.
Intermediate-level survey covers remainder theory, convergence theorems, and uniform and best approximation. Other topics include least square approximation, Hilbert space, orthogonal polynomials, theory of closure and completeness, and more. 1963 edition.
Interpolation And Approximation By Polynomials
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Author : George M. Phillips
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-06
Interpolation And Approximation By Polynomials written by George M. Phillips and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-06 with Mathematics categories.
This book is intended as a course in numerical analysis and approximation theory for advanced undergraduate students or graduate students, and as a reference work for those who lecture or research in this area. Its title pays homage to Interpolation and Approximation by Philip J. Davis, published in 1963 by Blaisdell and reprinted by Dover in 1976. My book is less g- eral than Philip Davis’s much respected classic, as the quali?cation “by polynomials” in its title suggests, and it is pitched at a less advanced level. I believe that no one book can fully cover all the material that could appearinabookentitledInterpolation and Approximation by Polynomials. Nevertheless, I have tried to cover most of the main topics. I hope that my readers will share my enthusiasm for this exciting and fascinating area of mathematics, and that, by working through this book, some will be encouraged to read more widely and pursue research in the subject. Since my book is concerned with polynomials, it is written in the language of classical analysis and the only prerequisites are introductory courses in analysis and linear algebra.
Topics In Polynomial And Rational Interpolation And Approximation
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Author : Richard S. Varga
language : en
Publisher:
Release Date : 1982
Topics In Polynomial And Rational Interpolation And Approximation written by Richard S. Varga and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Approximation theory categories.
Interpolation And Approximation By Rational Functions In The Complex Domain
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Author : J. L. Walsh
language : en
Publisher: American Mathematical Soc.
Release Date : 1935-12-31
Interpolation And Approximation By Rational Functions In The Complex Domain written by J. L. Walsh and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1935-12-31 with Mathematics categories.
The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.
Interpolation And Approximation With Splines And Fractals
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Author : Peter Robert Massopust
language : en
Publisher:
Release Date : 2010
Interpolation And Approximation With Splines And Fractals written by Peter Robert Massopust and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
This textbook is intended to supplement the classical theory of uni- and multivariate splines and their approximation and interpolation properties with those of fractals, fractal functions, and fractal surfaces. This synthesis will complement currently required courses dealing with these topics and expose the prospective reader to some new and deep relationships. In addition to providing a classical introduction to the main issues involving approximation and interpolation with uni- and multivariate splines, cardinal and exponential splines, and their connection to wavelets and multiscale analysis, which comprises the first half of the book, the second half will describe fractals, fractal functions and fractal surfaces, and their properties. This also includes the new burgeoning theory of superfractals and superfractal functions. The theory of splines is well-established but the relationship to fractal functions is novel. Throughout the book, connections between these two apparently different areas will be exposed and presented. In this way, more options are given to the prospective reader who will encounter complex approximation and interpolation problems in real-world modeling. Numerous examples, figures, and exercises accompany the material.
Frontiers In Interpolation And Approximation
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Author : N. K. Govil
language : en
Publisher: CRC Press
Release Date : 2006-07-20
Frontiers In Interpolation And Approximation written by N. K. Govil and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-20 with Mathematics categories.
Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolati
Interpolation And Approximation By Rational Functions In The Complex Domain
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Author : J. L. Walsh
language : en
Publisher: American Mathematical Soc.
Release Date : 1965
Interpolation And Approximation By Rational Functions In The Complex Domain written by J. L. Walsh and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Mathematics categories.
Mathematics Of Approximation
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Author : Johan De Villiers
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-30
Mathematics Of Approximation written by Johan De Villiers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-30 with Mathematics categories.
The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter